Question | Answer |
A solid that is bounded by polygons, called faces, that enclose a single region of space. | Polyhedron |
The polygons that enclose the polyhedron | Face |
A line segment formed by the intersection of two faces of a polyhedron. | Edge |
A point where three or more edges of a polyhedron meet. | Vertex |
A polyhedron whose faces are all congruent regular polygons. | Regular Polyhedron |
A polyhedron such that any two points on its surface can be connected by a line segment that lies entirely inside or on the polyhedron. | Convex |
The intersection of a plane and a solid. | Cross Section |
Five regular polyhedra, named after the Greek mathematician and philosopher Plato, including a regular tetrahedron, a cube, a regular octahedron, a regular dodecahedron, and a regular icosahedron. | Platonic Solids |
A polyhedron with four faces. | Tetrahedron |
A polyhedron with eight faces. | Octahedron |
A polyhedron with twelve faces. | Dodecahedron |
A polyhedron with twenty faces. | Icosahedron |
A polyhedron with two congruent faces, called bases, that lie in parallel planes. The other faces, called lateral faces, are parallelogram formed by connecting the corresponding vertices of the bases. | Prism |
On a prism, these are the faces that have only TWO of the same polygonal shape. On a pyramid, these are the faces that have only ONE polygonal shape. | Bases |
These are the faces that connect the two bases. | Lateral Faces |
A prism whose lateral edges are perpendicular to both bases. | Right Prism |
A prism whose lateral edges are not perpendicular to the bases. | Oblique Prism |
The sum of the areas of its faces. | Surface Area of a Polyhedron |
The sum of the areas of the lateral faces of a polyhedron. | Lateral Area of a Polyhedron |
A two-dimensional representation of all the faces of a polyhedron. | Net |
A solid with congruent circular bases that lie in parallel planes. | Cylinder |
A cylinder such that the segment joining the centers of the bases are perpendicular to the bases. | Right Cylinder |
The area of the curved surface of a cylinder. | Lateral Area of a Cylinder |
The sum of the lateral area of the cylinder and the areas of the two bases. | Surface Area of a Cylinder |
A polyhedron in which the bases is a polygon and the lateral faces are triangles with a common vertex. | Pyramid |
A pyramid such that the base is a regular polygon and the segment from the vertex to the center of the base is perpendicular to the base. | Regular Pyramid |
A solid with a circular base and a vertex that is not in the same plane as the base. | Circular Cone |
The area of the curved surface of a cone. | Lateral Surface of a Cone |
A cone with a vertex that lies directly above the center of the base. | Right Cone |
The number of cubic units contained in the interior of a solid. | Volume of a Solid |
The locus of points in space that are a given distance form a point, called the center of the sphere. | Sphere |
The point that is equidistant to every point on the sphere. | Center of a Sphere |
A segment from the center of a sphere to a point on the sphere. | Radius of a Sphere |
A segment whose endpoints are on the sphere. | Chord of a Sphere |
A chord that contains the center of the sphere. The longest chord of a sphere. | Diameter of a Sphere |
The intersection of a sphere and a plane that contains the center of the sphere. | Great Circle |
Half of a sphere, formed when a great circle separates a sphere into two congruent halves. | Hemisphere |
Two solids with equal ratios of corresponding linear measures, such as heights or radii. | Similar Solids |
A solid that is bounded by polygons, called faces, that enclose a single region of space. | Polyhedron |
The polygons that enclose the polyhedron | Face |
A line segment formed by the intersection of two faces of a polyhedron. | Edge |
A point where three or more edges of a polyhedron meet. | Vertex |
A polyhedron whose faces are all congruent regular polygons. | Regular Polyhedron |
A polyhedron such that any two points on its surface can be connected by a line segment that lies entirely inside or on the polyhedron. | Convex |
The intersection of a plane and a solid. | Cross Section |
Five regular polyhedra, named after the Greek mathematician and philosopher Plato, including a regular tetrahedron, a cube, a regular octahedron, a regular dodecahedron, and a regular icosahedron. | Platonic Solids |
A polyhedron with four faces. | Tetrahedron |
A polyhedron with eight faces. | Octahedron |
A polyhedron with twelve faces. | Dodecahedron |
A polyhedron with twenty faces. | Icosahedron |
A polyhedron with two congruent faces, called bases, that lie in parallel planes. The other faces, called lateral faces, are parallelogram formed by connecting the corresponding vertices of the bases. | Prism |
On a prism, these are the faces that have only TWO of the same polygonal shape. On a pyramid, these are the faces that have only ONE polygonal shape. | Bases |
These are the faces that connect the two bases. | Lateral Faces |
A prism whose lateral edges are perpendicular to both bases. | Right Prism |
A prism whose lateral edges are not perpendicular to the bases. | Oblique Prism |
The sum of the areas of its faces. | Surface Area of a Polyhedron |
The sum of the areas of the lateral faces of a polyhedron. | Lateral Area of a Polyhedron |
A two-dimensional representation of all the faces of a polyhedron. | Net |
A solid with congruent circular bases that lie in parallel planes. | Cylinder |
A cylinder such that the segment joining the centers of the bases are perpendicular to the bases. | Right Cylinder |
The area of the curved surface of a cylinder. | Lateral Area of a Cylinder |
The sum of the lateral area of the cylinder and the areas of the two bases. | Surface Area of a Cylinder |
A polyhedron in which the bases is a polygon and the lateral faces are triangles with a common vertex. | Pyramid |
A pyramid such that the base is a regular polygon and the segment from the vertex to the center of the base is perpendicular to the base. | Regular Pyramid |
A solid with a circular base and a vertex that is not in the same plane as the base. | Circular Cone |
The area of the curved surface of a cone. | Lateral Surface of a Cone |
A cone with a vertex that lies directly above the center of the base. | Right Cone |
The number of cubic units contained in the interior of a solid. | Volume of a Solid |
The locus of points in space that are a given distance form a point, called the center of the sphere. | Sphere |
The point that is equidistant to every point on the sphere. | Center of a Sphere |
A segment from the center of a sphere to a point on the sphere. | Radius of a Sphere |